Invariant-based inverse engineering of crane control parameters
arXiv:1705.06883 · doi:10.1103/PhysRevApplied.8.054008
Abstract
By applying invariant-based inverse engineering in the small-oscillations regime, we design the time dependence of the control parameters of an overhead crane (trolley displacement and rope length), to transport a load between two positions at different heights with minimal final energy excitation for a microcanonical ensemble of initial conditions. The analogies between ion transport in multisegmented traps or neutral atom transport in moving optical lattices and load manipulation by cranes opens a route for a useful transfer of techniques among very different fields.
9 pages, 5 figures
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